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Nguyen Vinh Hiep

Bio: Nguyen Vinh Hiep is an academic researcher. The author has contributed to research in topics: Partition of unity & Finite element method. The author has an hindex of 1, co-authored 1 publications receiving 277 citations.

Papers
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Journal ArticleDOI
TL;DR: The numerical results indicate that for 2D and 3D continuum, locking can be avoided and the principle is extended to partition of unity enrichment to simplify numerical integration of discontinuous approximations in the extended finite element method.

294 citations


Cited by
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Journal ArticleDOI
TL;DR: An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed in this article, where the discretization is based on Non-Uniform Rational B-Splines (NURBS).

320 citations

Book ChapterDOI
01 Jan 2020
TL;DR: This chapter provides an extensive overview of the literature on the so-called phase-field fracture/damage models (PFMs), particularly, for quasi-static and dynamic fracture of brittle and quasi-brittle materials, from the points of view of a computational mechanician.
Abstract: Fracture is one of the most commonly encountered failure modes of engineering materials and structures. Prevention of cracking-induced failure is, therefore, a major concern in structural designs. Computational modeling of fracture constitutes an indispensable tool not only to predict the failure of cracking structures but also to shed insights into understanding the fracture processes of many materials such as concrete, rock, ceramic, metals, and biological soft tissues. This chapter provides an extensive overview of the literature on the so-called phase-field fracture/damage models (PFMs), particularly, for quasi-static and dynamic fracture of brittle and quasi-brittle materials, from the points of view of a computational mechanician. PFMs are the regularized versions of the variational approach to fracture which generalizes Griffith's theory for brittle fracture. They can handle topologically complex fractures such as initiation, intersecting, and branching cracks in both two and three dimensions with a quite straightforward implementation. One of our aims is to justify the gaining popularity of PFMs. To this end, both theoretical and computational aspects are discussed and extensive benchmark problems (for quasi-static and dynamic brittle/cohesive fracture) that are successfully and unsuccessfully solved with PFMs are presented. Unresolved issues for further investigations are also documented.

290 citations

Journal ArticleDOI
TL;DR: In this article, the authors proposed an alternative, simpler algorithm for FEM-based computational fracture in brittle, quasi-brittle and ductile materials based on edge rotations.

223 citations

Journal ArticleDOI
TL;DR: In this article, a strain smoothing procedure for the extended finite element method (XFEM) is presented, which is tailored to linear elastic fracture mechanics and, in this context, to outperform the standard XFEM.

210 citations

Journal ArticleDOI
TL;DR: In this paper, a coarse-graining technique is proposed to reduce a given atomistic model into an equivalent coarse grained continuum model, tailored for problems involving complex crack patterns in 2D and 3D including crack branching and coalescence.

210 citations